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Sparse covariates are frequent in classification and regression problems and in these settings the task of variable selection is usually of interest. As it is well known, sparse statistical models correspond to situations where there are…

Methodology · Statistics 2020-02-14 Ana M. Bianco , Graciela Boente , Gonzalo Chebi

An important task in survival analysis is choosing a structure for the relationship between covariates of interest and the time-to-event outcome. For example, the accelerated failure time (AFT) model structures each covariate effect as a…

Methodology · Statistics 2025-12-08 Harrison T. Reeder , Kyu Ha Lee , Sebastien Haneuse

Latent autoregressive models are useful time series models for the analysis of infectious disease data. Evaluation of the likelihood function of latent autoregressive models is intractable and its approximation through simulation-based…

Methodology · Statistics 2020-06-23 Xanthi Pedeli , Cristiano Varin

Differential abundance (DA) analysis in microbiome studies has recently been used to uncover a plethora of associations between microbial composition and various health conditions. While current approaches to DA typically apply only to…

Methodology · Statistics 2026-01-19 Simon Fontaine , Nisha J. D'Silva , Marcell Costa de Medeiros , Grace Y. Chen , Ji Zhu , Gen Li

Interval-censoring frequently occurs in studies of chronic diseases where disease status is inferred from intermittently collected biomarkers. Although many methods have been developed to analyze such data, they typically assume perfect…

Methodology · Statistics 2026-05-26 Yuhao Deng , Donglin Zeng , Yuanjia Wang

Excess hazard modeling is one of the main tools in population-based cancer survival research. Indeed, this setting allows for direct modeling of the survival due to cancer even in the absence of reliable information on the cause of death,…

Methodology · Statistics 2022-04-12 A. Eletti , G. Marra , M. Quaresma , R. Radice , F. J. Rubio

The ratio of the hazard functions of two populations or two strata of a single population plays an important role in time-to-event analysis. Cox regression is commonly used to estimate the hazard ratio under the assumption that it is…

Methodology · Statistics 2022-07-13 Yujian Wu , Ted Westling

We present a probabilistic programmed deep kernel learning approach to personalized, predictive modeling of neurodegenerative diseases. Our analysis considers a spectrum of neural and symbolic machine learning approaches, which we assess…

Machine Learning · Computer Science 2021-01-13 Alexander Lavin

Given functional data from a survival process with time-dependent covariates, we derive a smooth convex representation for its nonparametric log-likelihood functional and obtain its functional gradient. From this, we devise a generic…

Machine Learning · Statistics 2021-10-07 Donald K. K. Lee , Ningyuan Chen , Hemant Ishwaran

In mixed longitudinal studies, a group of subjects enter the study at different ages (cross-sectional) and are followed for successive years (longitudinal). In the context of such studies, we consider nonparametric covariance estimation…

Methodology · Statistics 2020-12-02 Anru R. Zhang , Kehui Chen

Semiparametric regression offers a flexible framework for modeling non-linear relationships between a response and covariates. A prime example are generalized additive models where splines (say) are used to approximate non-linear functional…

Statistics Theory · Mathematics 2018-10-05 Francis K. C. Hui , Chong You , Han Lin Shang , Samuel Müller

A two-class mixture model, where the density of one of the components is known, is considered. We address the issue of the nonparametric adaptive estimation of the unknown probability density of the second component. We propose a randomly…

Statistics Theory · Mathematics 2021-02-08 Gaelle Chagny , Antoine Channarond , Van Ha Hoang , Angelina Roche

We consider parameter estimation in a regression model corresponding to an iid sequence of censored observations of a finite state modulated renewal process. The model assumes a similar form as in Cox regression except that the baseline…

Statistics Theory · Mathematics 2007-06-13 Dorota M. Dabrowska , Wai Tung Ho

Characterization of long-term disease dynamics, from disease-free to end-stage, is integral to understanding the course of neurodegenerative diseases such as Parkinson's and Alzheimer's; and ultimately, how best to intervene. Natural…

Applications · Statistics 2018-01-12 Dan Li , Samuel Iddi , Wesley K. Thompson , Michael C. Donohue

We consider a robust estimation of linear regression coefficients. In this note, we focus on the case where the covariates are sampled from an $L$-subGaussian distribution with unknown covariance, the noises are sampled from a distribution…

Statistics Theory · Mathematics 2024-05-27 Takeyuki Sasai , Hironori Fujisawa

In this paper, we introduce a general theoretical framework for nonparametric hazard rate estimation using associated kernels, whose shapes depend on the point of estimation. Within this framework, we establish rigorous asymptotic results,…

Statistics Theory · Mathematics 2025-10-07 Luce Breuil , Sarah Kaakaï

We consider the situation of estimating Cox regression in which some covariates are subject to missing, and there exists additional information (including observed event time, censoring indicator and fully observed covariates) which may be…

Methodology · Statistics 2017-10-16 Chiu-Hsieh Hsu , Mandi Yu

In this work, we revisit the problem of active sequential prediction-powered mean estimation, where at each round one must decide the query probability of the ground-truth label upon observing the covariates of a sample. Furthermore, if the…

Machine Learning · Statistics 2026-04-21 Maria-Eleni Sfyraki , Jun-Kun Wang

Single-index models or time-to-event models are frequently applied in empirical research. These models are non-identifiable in presence of unknown (dependent) censoring or competing risks and do not give informative results in empirical…

Methodology · Statistics 2026-03-25 Jia-Han Shih , Simon M. S. Lo , Ralf A. Wilke

With the ubiquitous availability of unstructured data, growing attention is paid as how to adjust for selection bias in such non-probability samples. The majority of the robust estimators proposed by prior literature are either fully or…

Methodology · Statistics 2022-04-08 Ali Rafei , Michael R. Elliott , Carol A. C. Flannagan